Regression Analysis

                     Lesson 1

                                                                                                                                                                          

                                                            Problem:      A factory is producing and stockpiling metal sheets to be shipped to an automobile manufacturing plant. The factory ships only                                                                               when there is a minimum of 1000 sheets in stock at the beginning of that day. The table shows the day, x, and the number of                                                                               sheets in stock, f (x), at the beginning of that day.

 

Day

1

2

3

4

5

6

Sheets in stock

350

456

555

689

777

865

       

                                                                                    Write a linear regression equation and use this equation to determine the day the sheets will be shipped.

                                                            

                                                            Solution       The linear regression equation is: y=104.914 x + 248.13

                                                            Step 1:          

                     

                                                            Solution       To calculate the days the sheets will be shipped:

                                                            Step 2:            Substitute the value of x in the linear regression equation and calculate the value of y. The value of x for which y becomes                                                            equivalent to 1135.

 

                                                            Solution        y=104.914 x + 248.13

                                                            Step 3:            Put x=7.165

                                                                                    Then y= (104.914*7.165) + 248.13

 

                                                            Solution        Answer: 7.165

Step 4:           

Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                 Solve the following: 

 

The table shows the amount of Salt Dissolved in the water and that is given to the School Students in every 6 hours following a dose of 10 ml. It seems that the rate of decrease of the drug is approximately proportional to the amount remaining.

Time

(hrs)

0

1

2

3

4

5

6

7

8

Salted water amount(ml)

10

9.8

9.5

8.3

7.4

6.9

5.8

4.4

3.5

A.

Use this information to find a suitable function to model this data.

B.

Using your model, when will there be less than 1 ml. of the Salted water given to the Students?

 

 

       

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